Compute the Value of the H Test Statistic A) $6.757$ B) $5.903$

question 49

Multiple Choice

Compute the value of the H test statistic.
-A Kruskall-Wallis test is to be performed to compare three population means. Independent random samples are selected from three different populations. The sample data are given in the
Table below. $\begin{array}{r|c|c}{\mathrm{A}} & \mathrm{B} & \mathrm{C} \\\hline 20.3 & 33.8 & 35.0 \\25 & 21.8 & 28.8 \\17.1 & 18.3 & 31.6 \\17.6 & 16.8 & 25.7 \\19.7 & 27.4 & 18.8 \\18.3 & & 32.9 \\& & 33.8\end{array}$

• A)\(6.757\)
• B) \(5.903\)
• C) \(4.718\)
• D) \(8.166\)

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Definitions:

Hydrothermal Vents

Openings in the seafloor that emit hot, mineral-rich water, supporting unique ecosystems.

Spontaneous Combustion

The phenomenon where a material ignites without an external ignition source due to heat generated internally, often through chemical reactions, microbial action, or self-heating.

Prokaryotic

Describing organisms whose cells lack a nucleus, including bacteria and archaea, characterized by a simpler organizational structure compared to eukaryotic cells.

Autotroph

Organisms that produce their own food from inorganic substances, using light or chemical energy.